Linear combination and scalar product

JulienB

New member
Joined
Oct 15, 2015
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3
Hi everybody!

I would like to ask a quick but important question for my understanding of this problem:
(I roughly translate from German)

Considering the vectors:
a = (5,2,-1)
b = (3,2,1)
c = (1,2,3)

We assume that a is a linear combination of the vectors b and c such that:

a = xb + yc

a) Determine the factors x and y through the use of of different scalar products from the equation.

My question is: what kind of scalar product should I be using? I made a simple system of linear equations and immediately got x = 2 and y = -1, but that didn't include scalar product. Is there another way that I am not aware of? :?:


Thank you in advance for your answers.


J.
 
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